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arXiv:2307.05022 [math.AG]AbstractReferencesReviewsResources

Positivity of extensions of vector bundles

Sho Ejiri, Osamu Fujino, Masataka Iwai

Published 2023-07-11Version 1

In this paper, we prove that an extension of an ample line bundle by a big line bundle is not necessarily pseudo-effective. In particular, this implies that an almost nef vector bundle is not necessarily pseudo-effective. We also show that an extension of a big (resp. pseudo-effective) line bundle by an ample (resp. a nef) vector bundle is big (resp. pseudo-effective).

Comments: 7 pages, comments are welcome
Categories: math.AG
Subjects: 14J60, 14E99, 14F06
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